Principles for Testing Polynomial Zerofinding Programs,

Abstract

The state-of-the-art in polynomial zerofinding algorithms and programs is briefly summarized. Our focus in this paper is on principles for testing such programs. We view testing as requiring four steps: (1) testing program robustness, (2) testing for convergence difficulties, (3) testing for specific weakness of the algorithms, (4) assessment of program performance by statistical testing. The authors' algorithm for real polynomials has been reprogrammed with substantial modifications to the decision making processes. In order to verify that the new program is a reliable and efficient mathematical software product, it underwent the testing outlined above. The results of part of this testing are described in this paper. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0784426

Entities

People

  • Joseph F. Traub
  • M. A. Jenkins

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Convergence
  • Cooperation
  • Evolutionary Algorithms
  • Heuristic Methods
  • Mathematical Programming
  • Mathematics
  • Polynomials

Fields of Study

  • Computer science
  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Modeling and Simulation
  • Software Verification and Validation.